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Finding the Third Proportional to 158,062 and 242,372

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Solution

The third proportional to 158,062 and 242,372 is: 371,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,062 : 242,372 = 242,372 : x
  2. Step 2: Convert to fraction form
    158,062/242,372 = 242,372/x
  3. Step 3: Cross multiply
    158,062x = 242,372 × 242,372
  4. Step 4: Simplify right side
    158,062x = 58,744,186,384
  5. Step 5: Solve for x
    x = 58,744,186,384/158,062
  6. Step 6: Final answer
    x = 371,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.